Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a? -9 -3 3 9

Rational numbers are defined as "a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." This quote can be broken down to make it easier to understand. In basic terms, a rational number is a real number that is an integer, fraction, terminating decimal, or repeating decimal.

Integer

An integer is any positive or negative whole number including 0. Examples of integers include 4, -9, and 0.

Fraction

All fractions that do not have a 0 denominator (which makes the number undefined) are rational numbers. Additionally, complex fractions are not always considered rational numbers. Complex fractions are fractions where either the numerator or denominator is a decimal or fraction itself. Examples of rational fractions include [tex]\frac{4}5}[/tex], [tex]\frac{7}{4}[/tex], and [tex]\frac{2}{2}[/tex].

Terminating Decimals

Terminating decimals are decimals that have a finite number of digits. This means that the decimal stops at some point. Examples of terminating decimals include 0.346, 0.47834, and 0.345832454525456

Repeating Decimals

Repeating decimals are any decimal that is not terminating but has some pattern that repeats for infinity. Examples of repeating decimals include [tex]0.\bar 9[/tex], [tex]0.\bar8\bar6[/tex], and [tex]0.\bar 5\bar7\bar8\bar4[/tex]. In this case, the bar notation represents numbers that repeat forever.

Answer:

None of the expressions are equal to 4*106

Step-by-step explanation:

(2×108)(2×10-2) does not equal 4*106

40×105 does not equal 4*106

40 6 does not equal 4*106

400,000 does not equal 4*106

2×1093×102 does not equal 4*106

The population density of city-B is greater, so, the public bus must be used for city-B.

Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area.

The total population of city A= 51,242

The total area of city A =89.22 mi^2

The population density of city A is given by;

[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\ Population \ density=\dfrac{51,242}{89.22}\\\\ Population\ density=574.3331[/tex]

The total population of city B = 50178

The total area of city B =8.12 mi^2

The population density of city B is given by;

[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\Population \ density=\dfrac{50178}{8.12}\\\\Population \ density=6179.55665[/tex]

Hence, the population density of city-B is greater, so, the public bus must be used for city-B.

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Answer:

b is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The answer is 8 because 1/2 times 1/2 times 1/2 is 1/8, which means that 8 B cubes can fit into cube A.

The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.

Maria, age 28, wants to pay no more than $300 a year in life insurance.

The period for this policy is 20-year term.

Annual life insurance premium (per 1,000 dollars of face value) for age 28.

For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,

[tex]\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000[/tex]

Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

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Answer: B

on edge

Step-by-step explanation:

288π cm³

================

volume of sphere: 4/3 * π * radius³

⇒ 4/3 * π * (6)³

⇒ 4/3 * 216 * π

⇒ 288π

Answer:

14) D; 16) C.

Step-by-step explanation:

14) the given equation can be written (x-2)(x-1/2)=0;

D. -2; 1/2.

16. if the original length is 'x', then it is possible to make up the equation of area:

(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.

Answer:

[tex]\boxed{\bf \angle A=84^o}[/tex]

Step-by-step explanation:

From the given diagram, we can see that ∠B & ∠C are corresponding angles, which means that they are equal. The two angles that form a straight line are supplementary angles (the sum of two supplementary angles is 180°).

[tex]\bf 5x+34^o+\angle C=180^o[/tex]

[tex]\bf 5x+34^o+\angle B=180^o[/tex]

[tex]\bf 5x+34^o+2x+76^o=180^o[/tex]

Now, let's solve for x :-

[tex]\bf (5x+34^o)+(2x+76^o)=180^o[/tex]

[tex]\bf (5x+2x)+(34+76)=180^o[/tex]

[tex]\bf 7x+110=180^o[/tex]

[tex]\bf (7x+110)-110^o=180-110^o[/tex]

[tex]\bf 7x=70^o[/tex]

[tex]\bf \cfrac{7x}{7} =\cfrac{70}{7}[/tex]

[tex]\boxed{\bf x=10^o}[/tex]

Now, in order to find ∠A will substitute the value of x  into the expression:-[tex]\bf \angle A=5x+34^o[/tex]

[tex]\bf \angle A=5(10)+34^o[/tex]

[tex]\bf \angle A=84^o[/tex]

______________________

Answer:

Times 10 magnify

Step-by-step explanation:

Answer:

O.8 is the answer

Step-by-step explanation:

There are 68 problems on the final exam did Hunter get wrong.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems.

Now,

Since, Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems.

Hence, The correct problem = 66% of 200

                                            = 66/100 x 200

                                            = 66 x 2

                                            = 132

Thus, The incorrect question = 200 - 132

                                             = 68

Therefore, There are 68 problems on the final exam did Hunter get wrong.

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Answer

The answer is 13

Step-by-step explanation:

I divided 2.21 by 0.17

Answer:

13 Erasers

Step-by-step explanation:

2.21 ⁒ 0.17 = 13

Hope this helps :)

Answer:

10.92

Step-by-step explanation:

26% is equivalent to 0.26 (% is in terms of 100, so if you divide the percent by 100, you gte the decimal form)

You just multiply the decimal form by the number and your result is the answer

0.26x42=10.92

Answer:

A 140 degree angle. Think about where 90 degree angle is, where 180 degree angle is, and recognize that 140 degree angle is in between those. Also,  when it's saying side length, it's just saying how long the line itself is;)

Step-by-step explanation:

Answer:

A 140° angle

Step-by-step explanation:

It can be seen that the angle between 2 rays is being measured. Conveyor scale indicates 140° angle.

Hope this helps

The quadratic equation will have no real solutions.

Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]

The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.

[tex]D > 0[/tex] the roots are real and distinct.

[tex]D=0[/tex] the roots are real and equal.

[tex]D < 0[/tex]  the roots will be imaginary.

We have [tex]D=-16[/tex] which is negative.

So, the roots will be imaginary.

So, the given quadratic equation will have no real solutions.

Hence, the given quadratic equation has no real solutions.

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The table is an illustration of a quadratic function, and the range of Ella's table is 0 ≤ y ≤ 9

From the complete question, we have the following highlights:

The minimum output value is 0, and the maximum output value is 9

This means that the range of the table is 0 to 9

Express properly as:

0 ≤ y ≤ 9

Hence, the range of Ella's table is 0 ≤ y ≤ 9

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Answer:

The value of x is 3

Step-by-step explanation:

=> −6 + x = −3

=> x = -3+6

=> x = 3

Answer:

70 degrees

Step-by-step explanation:

Angles directly opposite are equal

Check the picture below.

Answer:

15/8 Hours

Step-by-step explanation:

To start, I would find see how long it takes to walk a mile.

1/3 · 3 = 1

1/4 · 3 = 3/4

So we now know that walking one mile takes 45 minutes. Next, I multiplied 1 mile by 2.5 and repeated the same process with the time.

3/4 · 5/2 = 15/8

Therefore, it takes 15/8 hours to walk 2.5 miles.

Assume √41 is rational, so that there exist integers p, q such that

[tex]\sqrt{41} = \dfrac pq[/tex]

and p/q is irreducible. Taking squares, this would mean

[tex]41 = \dfrac{p^2}{q^2} \implies p^2 = 41q^2[/tex]

This tells us that 41 is a factor of p², which in turn means 41 is a factor of p because 41 is prime. We can consequently write p = 41n for some integer n. But then

[tex]p^2 = (41n)^2=41q^2 \implies 41n^2 = q^2[/tex]

which says 41 also divides q² and hence divides q as well. In other words, p/q is reducible, so we have a contradiction.

Answer:

5/8

Step-by-step explanation:

Answer:

To find fractions, multiply 5 by the numerator to find the denominator.

Step-by-step explanation:

Fractions:

1/5, 2/10, 3/15, etc.

Decimal:

0.2

Percentage:

20%

Answer:

16.852

Step-by-step explanation:

Writing the worded terms

Standard form

Answer:

Option B is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

There were 8 people who surveyed exercise once a week or less out of the 50 people who were surveyed.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the circle graph, percentage of the people surveyed exercise once a week or less = 100% - (10% + 40% + 20% + 14%) = 16%

Number of the people surveyed exercise once a week or less = 15% of 50 = 0.16 * 50 = 8

There were 8 people who surveyed exercise once a week or less

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